HolstonF293252 HolstonF293252
  • 28-10-2022
  • Mathematics
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What is the sum of the geometric series, rounded to the nearest whole number?See image

What is the sum of the geometric series rounded to the nearest whole numberSee image class=

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LeslyeB634369 LeslyeB634369
  • 28-10-2022

The formula of the partial sum of the first n terms of a geometric series is:

[tex]Sn=\frac{a1(1-r^n)}{1-r}[/tex]

In this case, a1 is 6 (the first term of the series) and r is 1/4 (the base). By replacing 16 for n and the rest of the values we should get:

[tex]Sn=\frac{6(1-(\frac{1}{4})^{16})}{1-(\frac{1}{4})}\approx8[/tex]

Then, the sum of the given geometric series is 8

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